Multistable dynamics and control of the ship' s rolling system

被引：0
|
作者：
Zhao W. [1 ]
Zhang W. [1 ]
Li G. [1 ]
Yue Y. [1 ]
机构：
[1] Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 18期
关键词：
basins of attraction; intermittent controlling method; multistable dynamics; ship's rolling system;
D O I：
10.13465/j.cnki.jvs.2022.18.024
中图分类号：
学科分类号：
摘要：
Considering a class of ship' s nonlinear rolling dynamics model, numerical methods were used to solve the established differential equations of motion, and the multistable dynamics was revealed through the bifurcation diagram, phase trajectory diagram and attraction basins of the research system. The intermittent controlling method was used to enable the system to switch between different steady states. The strength of the intermittent control force was further considered, and the effect of limited control force on the efficiency of the control effect was investigated. By using the intermittent controlling method with constraints, in the case of the maximum control signal being limited, the current trajectory was first controlled to a transient one, then adjusted continuously through intermittent controlling to stabilize to the trajectory of the desired periodic solution. The numerical results show that the whole control process of the intermittent controlling method with constraints is relatively mild, and at the same time it can control the strength of a single input signal, which is more suitable for the practical dynamics system. © 2022 Chinese Vibration Engineering Society. All rights reserved.
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页码：192 / 196and204
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